Pattern selection in a reaction-diffusion equation

被引：0
|
作者：
Wang, Ping [1 ]
Hsieh, Din-Yu [2 ]
Tang, Shaoqiang [3 ]
Wu, Jike [1 ]
机构：
[1] Dept. of Mech. and Eng. Sci., Peking Univ., Beijing 100871, China
[2] Div. of Appl. Math., Brown Univ., Providence, United States
[3] Lab. for Turbulence Res., Dept. of Mech. and Eng. Sci., Peking Univ., Beijing 100871, China
来源：
Acta Mechanica Sinica/Lixue Xuebao | 2002年 / 18卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Diffusion - Numerical analysis - Parameter estimation - Selection;
D O I：
10.1007/bf02487968
中图分类号：
学科分类号：
摘要：
This paper studies the pattern selection in a spatially-periodic problem of a simplified reaction-diffusion system described by an evolutionary Duffing equation. Numerical explorations by a pseudo-spectral method reveal the dependence of the pattern formation on the initial profile as well as the parameter. Only patterns with 2m humps are found to be meta-stable in the corresponding parameter ranges.
引用
收藏
页码：652 / 660
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